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230166265120 = 25511433041309
BaseRepresentation
bin1101011001011011111…
…0100111110100100000
3211000002200102201201221
43112112332213310200
512232340030440440
6253423101504424
722425506654551
oct3262676476440
9730080381657
10230166265120
1189681946720
1238736272114
1318920c895ac
14b1d664a328
155ec1991d4a
hex3596fa7d20

230166265120 has 96 divisors (see below), whose sum is σ = 606996815040. Its totient is φ = 81750359040.

The previous prime is 230166265117. The next prime is 230166265141. The reversal of 230166265120 is 21562661032.

It is a super-2 number, since 2×2301662651202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444975 + ... + 1596334.

It is an arithmetic number, because the mean of its divisors is an integer number (6322883490).

Almost surely, 2230166265120 is an apocalyptic number.

230166265120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230166265120 is an abundant number, since it is smaller than the sum of its proper divisors (376830549920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230166265120 is a wasteful number, since it uses less digits than its factorization.

230166265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041378 (or 3041370 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 230166265120 in words is "two hundred thirty billion, one hundred sixty-six million, two hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 430 440 473 688 860 880 946 1376 1720 1760 1892 2365 3440 3784 4730 6880 7568 9460 15136 18920 37840 75680 3041309 6082618 12165236 15206545 24330472 30413090 33454399 48660944 60826180 66908798 97321888 121652360 130776287 133817596 167271995 243304720 261552574 267635192 334543990 486609440 523105148 535270384 653881435 669087980 1046210296 1070540768 1307762870 1338175960 1438539157 2092420592 2615525740 2676351920 2877078314 4184841184 5231051480 5352703840 5754156628 7192695785 10462102960 11508313256 14385391570 20924205920 23016626512 28770783140 46033253024 57541566280 115083132560 230166265120